code: def test_get_optimization_history_info(directions: str) -> None:
      signs = [1 if d == "minimize" else -1 for d in directions]
  
      def objective(trial: Trial) -> Sequence[float]:
          def impl(trial: Trial) -> Sequence[float]:
              if trial.number == 0:
                  return 1.5, 1.5  # dominated by the reference_point
              elif trial.number == 1:
                  return 0.75, 0.75
              elif trial.number == 2:
                  return 0.5, 0.5  # dominates Trial #1
              elif trial.number == 3:
                  return 0.5, 0.5  # dominates Trial #1
              elif trial.number == 4:
                  return 0.75, 0.25  # incomparable
              return 0.0, 0.0  # dominates all
  
          values = impl(trial)
          return signs[0] * values[0], signs[1] * values[1]
  
      def constraints(trial: FrozenTrial) -> Sequence[float]:
          if trial.number == 2:
              return (1,)  # infeasible
  
          return (0,)  # feasible
  
      sampler = NSGAIISampler(constraints_func=constraints)
      study = create_study(directions=directions, sampler=sampler)
      study.optimize(objective, n_trials=6)
  
      reference_point = np.asarray(signs)
      info = _get_hypervolume_history_info(study, reference_point)
      assert info == _HypervolumeHistoryInfo(
          trial_numbers=[0, 1, 2, 3, 4, 5],
          values=[0.0, 0.0625, 0.0625, 0.25, 0.3125, 1.0],
      )
  
file_path: optuna/tests/visualization_tests/test_hypervolume_history.py
imports: from typing import Sequence
  import numpy
  import pytest
  from optuna.samplers import NSGAIISampler
  from optuna.study import create_study
  from optuna.trial import FrozenTrial
  from optuna.trial import Trial
  from optuna.visualization._hypervolume_history import _get_hypervolume_history_info
  from optuna.visualization._hypervolume_history import _HypervolumeHistoryInfo
label_desc: Use image node_id 1 for calling a global function with example usage: test_get_optimization_history_info(directions) and returns: unknown,  unknown, int, int,  int, int, int,  int, int,  int, int,  int, int,  int, int,  int